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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 13 Jan 2010 11:22:58 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Jan/13/t12634070271jhcu8hal5q31a4.htm/, Retrieved Fri, 03 May 2024 08:14:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=72154, Retrieved Fri, 03 May 2024 08:14:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W52
Estimated Impact147
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [decompositie bezo...] [2010-01-13 18:22:58] [8dade33360a3d9627a19ab7d33b79ad8] [Current]
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Dataseries X:
2357402
2199181
2603060
2629720
2638792
2717481
3810804
3871664
2998364
2923432
2712359
2996099
2395029
2483862
3120231
3360606
3177203
3062783
4242509
4026394
3192481
3118695
2782482
3209833
2630190
2592882
3785309
3231539
3421369
3312134
4647303
4289177
3463853
3304422
3006121
3464238
2921118
2624018
3500718
3939351
3467672
3343628
4852445
4597807
3653145
3572079
3334861
3695369
3075704
2852998
3942704
4004560
3822145
3760085
5267816
5271333
4144142
4109749
3896808
4211074
3402318
3279817
4706628
4079499
4344530
4048625
5394915
5611967
4145481
4025610
3552218
3910443




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72154&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72154&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72154&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
12357402NANA0.801187255272192NA
22199181NANA0.764307105895857NA
32603060NANA1.04250046166845NA
42629720NANA1.01803762623020NA
52638792NANA0.98990679466426NA
62717481NANA0.948422064907969NA
738108043807094.558427422873097.6251.325083604991471.00097434973459
838716643679723.735192712886527.1251.274792709662381.05216159652737
929983642921276.024080932919937.6251.000458365640921.02638846013989
1029234322873700.9604143529719400.966944474119381.01730557224663
1127123592677223.526516113024827.3750.8850830790025211.01312384757413
1229960993010447.138369913061648.750.9832764579444040.995233884632274
1323950292478892.629689093094024.041666670.8011872552721920.966168914020447
1424838622383460.245760373118458.833333330.7643071058958571.04212436704922
1531202313266147.821717063132994.1251.042500461668450.955324489373434
1633606063206022.714129053149218.291666671.018037626230201.04821652859467
1731772033128378.726660513160276.041666670.989906794664261.01560689341204
1830627833008492.872536623172103.416666670.9484220649079691.01804562276314
1942425094228086.539298363190807.3751.325083604991471.00341110820878
2040263944085899.622487133205148.251.274792709662380.9854363474424
2131924813238886.247328763237402.333333331.000458365640920.985672467698724
2231186953151983.833156073259736.1250.966944474119380.9894387677989
2327824822889381.960305343264531.916666670.8850830790025210.963002482269932
2432098333230156.698520433285095.1250.9832764579444040.993708138515466
2526301902653813.539719313312351.166666670.8011872552721920.99109826694086
2625928822552913.277440463340166.8750.7643071058958571.01565612232610
2737853093505327.877324783362423.333333331.042500461668451.07987301972131
2832315393442462.80118573381469.1251.018037626230200.938728807436046
2934213693364224.020489273398526.041666670.989906794664261.01698608034504
3033121343242128.230980873418444.541666670.9484220649079691.02159253552965
3146473034559833.642466773441166.751.325083604991471.01918257646915
3242891774403881.153934443454586.083333331.274792709662380.973953848906216
3334638533445604.081269883444025.458333331.000458365640921.00529629008432
3433044223347232.685965273461659.666666670.966944474119380.987210125503144
3530061213091666.997320593493081.1250.8850830790025210.972330138596838
3634642383437851.767510733496322.666666670.9832764579444041.00767520948362
3729211182809108.733658393506182.50.8011872552721921.03987359584893
3826240182696161.848918133527589.666666670.7643071058958570.973242018483764
3935007183699142.352529993548336.416666671.042500461668450.946359362895488
4039393513631722.952492343567375.958333331.018037626230201.08470581361294
4134676723555968.760385153592225.833333330.989906794664260.975169421798974
4233436283429070.992878343615553.791666670.9484220649079690.975082757675246
4348524454812207.188671673631625.333333331.325083604991471.00836161240585
4445978074649943.130011643647607.251.274792709662380.988787791903273
4536531453677248.918991663675564.166666671.000458365640920.993445121741101
4635720793574501.018669163696697.291666670.966944474119380.99932241768669
4733348613287361.447580363714184.041666670.8850830790025211.01444914201771
4836953693683654.616965423746306.1250.9832764579444041.00318009809623
4930757043029261.471372263780965.6250.8011872552721921.01533130403785
5028529982924496.049114163826336.333333330.7643071058958570.975552010358905
5139427044039541.384212263874858.1251.042500461668450.97602762912871
5240045603988385.605506343917719.251.018037626230201.0040553738012
5338221453923531.835988153963536.6250.989906794664260.974159293150577
5437600853801691.795849704008438.791666670.9484220649079690.989055715696069
5552678165358022.486827344043535.416666671.325083604991470.983164220185877
5652713335194689.091079094074928.458333331.274792709662381.014754282225
5741441424126433.29868114124542.751.000458365640921.00429152734022
5841097494022001.067981374159495.3750.966944474119381.02181698376890
5938968083703527.36381354184383.8750.8850830790025211.05218825654564
6042110744147629.632858784218172.416666670.9832764579444041.01529653627667
6134023183393421.175340464235490.708333330.8011872552721921.00262178615617
6232798173252111.130983464254979.583333330.7643071058958571.00851934878626
6347066284450672.638780614269228.458333331.042500461668451.05750936588532
6440794994342722.975745574265778.458333331.018037626230200.939387343559399
6543445304205039.674179534247914.750.989906794664261.03317217829762
6640486254003318.50236714221030.541666670.9484220649079691.01131723534016
675394915NANA1.32508360499147NA
685611967NANA1.27479270966238NA
694145481NANA1.00045836564092NA
704025610NANA0.96694447411938NA
713552218NANA0.885083079002521NA
723910443NANA0.983276457944404NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 2357402 & NA & NA & 0.801187255272192 & NA \tabularnewline
2 & 2199181 & NA & NA & 0.764307105895857 & NA \tabularnewline
3 & 2603060 & NA & NA & 1.04250046166845 & NA \tabularnewline
4 & 2629720 & NA & NA & 1.01803762623020 & NA \tabularnewline
5 & 2638792 & NA & NA & 0.98990679466426 & NA \tabularnewline
6 & 2717481 & NA & NA & 0.948422064907969 & NA \tabularnewline
7 & 3810804 & 3807094.55842742 & 2873097.625 & 1.32508360499147 & 1.00097434973459 \tabularnewline
8 & 3871664 & 3679723.73519271 & 2886527.125 & 1.27479270966238 & 1.05216159652737 \tabularnewline
9 & 2998364 & 2921276.02408093 & 2919937.625 & 1.00045836564092 & 1.02638846013989 \tabularnewline
10 & 2923432 & 2873700.96041435 & 2971940 & 0.96694447411938 & 1.01730557224663 \tabularnewline
11 & 2712359 & 2677223.52651611 & 3024827.375 & 0.885083079002521 & 1.01312384757413 \tabularnewline
12 & 2996099 & 3010447.13836991 & 3061648.75 & 0.983276457944404 & 0.995233884632274 \tabularnewline
13 & 2395029 & 2478892.62968909 & 3094024.04166667 & 0.801187255272192 & 0.966168914020447 \tabularnewline
14 & 2483862 & 2383460.24576037 & 3118458.83333333 & 0.764307105895857 & 1.04212436704922 \tabularnewline
15 & 3120231 & 3266147.82171706 & 3132994.125 & 1.04250046166845 & 0.955324489373434 \tabularnewline
16 & 3360606 & 3206022.71412905 & 3149218.29166667 & 1.01803762623020 & 1.04821652859467 \tabularnewline
17 & 3177203 & 3128378.72666051 & 3160276.04166667 & 0.98990679466426 & 1.01560689341204 \tabularnewline
18 & 3062783 & 3008492.87253662 & 3172103.41666667 & 0.948422064907969 & 1.01804562276314 \tabularnewline
19 & 4242509 & 4228086.53929836 & 3190807.375 & 1.32508360499147 & 1.00341110820878 \tabularnewline
20 & 4026394 & 4085899.62248713 & 3205148.25 & 1.27479270966238 & 0.9854363474424 \tabularnewline
21 & 3192481 & 3238886.24732876 & 3237402.33333333 & 1.00045836564092 & 0.985672467698724 \tabularnewline
22 & 3118695 & 3151983.83315607 & 3259736.125 & 0.96694447411938 & 0.9894387677989 \tabularnewline
23 & 2782482 & 2889381.96030534 & 3264531.91666667 & 0.885083079002521 & 0.963002482269932 \tabularnewline
24 & 3209833 & 3230156.69852043 & 3285095.125 & 0.983276457944404 & 0.993708138515466 \tabularnewline
25 & 2630190 & 2653813.53971931 & 3312351.16666667 & 0.801187255272192 & 0.99109826694086 \tabularnewline
26 & 2592882 & 2552913.27744046 & 3340166.875 & 0.764307105895857 & 1.01565612232610 \tabularnewline
27 & 3785309 & 3505327.87732478 & 3362423.33333333 & 1.04250046166845 & 1.07987301972131 \tabularnewline
28 & 3231539 & 3442462.8011857 & 3381469.125 & 1.01803762623020 & 0.938728807436046 \tabularnewline
29 & 3421369 & 3364224.02048927 & 3398526.04166667 & 0.98990679466426 & 1.01698608034504 \tabularnewline
30 & 3312134 & 3242128.23098087 & 3418444.54166667 & 0.948422064907969 & 1.02159253552965 \tabularnewline
31 & 4647303 & 4559833.64246677 & 3441166.75 & 1.32508360499147 & 1.01918257646915 \tabularnewline
32 & 4289177 & 4403881.15393444 & 3454586.08333333 & 1.27479270966238 & 0.973953848906216 \tabularnewline
33 & 3463853 & 3445604.08126988 & 3444025.45833333 & 1.00045836564092 & 1.00529629008432 \tabularnewline
34 & 3304422 & 3347232.68596527 & 3461659.66666667 & 0.96694447411938 & 0.987210125503144 \tabularnewline
35 & 3006121 & 3091666.99732059 & 3493081.125 & 0.885083079002521 & 0.972330138596838 \tabularnewline
36 & 3464238 & 3437851.76751073 & 3496322.66666667 & 0.983276457944404 & 1.00767520948362 \tabularnewline
37 & 2921118 & 2809108.73365839 & 3506182.5 & 0.801187255272192 & 1.03987359584893 \tabularnewline
38 & 2624018 & 2696161.84891813 & 3527589.66666667 & 0.764307105895857 & 0.973242018483764 \tabularnewline
39 & 3500718 & 3699142.35252999 & 3548336.41666667 & 1.04250046166845 & 0.946359362895488 \tabularnewline
40 & 3939351 & 3631722.95249234 & 3567375.95833333 & 1.01803762623020 & 1.08470581361294 \tabularnewline
41 & 3467672 & 3555968.76038515 & 3592225.83333333 & 0.98990679466426 & 0.975169421798974 \tabularnewline
42 & 3343628 & 3429070.99287834 & 3615553.79166667 & 0.948422064907969 & 0.975082757675246 \tabularnewline
43 & 4852445 & 4812207.18867167 & 3631625.33333333 & 1.32508360499147 & 1.00836161240585 \tabularnewline
44 & 4597807 & 4649943.13001164 & 3647607.25 & 1.27479270966238 & 0.988787791903273 \tabularnewline
45 & 3653145 & 3677248.91899166 & 3675564.16666667 & 1.00045836564092 & 0.993445121741101 \tabularnewline
46 & 3572079 & 3574501.01866916 & 3696697.29166667 & 0.96694447411938 & 0.99932241768669 \tabularnewline
47 & 3334861 & 3287361.44758036 & 3714184.04166667 & 0.885083079002521 & 1.01444914201771 \tabularnewline
48 & 3695369 & 3683654.61696542 & 3746306.125 & 0.983276457944404 & 1.00318009809623 \tabularnewline
49 & 3075704 & 3029261.47137226 & 3780965.625 & 0.801187255272192 & 1.01533130403785 \tabularnewline
50 & 2852998 & 2924496.04911416 & 3826336.33333333 & 0.764307105895857 & 0.975552010358905 \tabularnewline
51 & 3942704 & 4039541.38421226 & 3874858.125 & 1.04250046166845 & 0.97602762912871 \tabularnewline
52 & 4004560 & 3988385.60550634 & 3917719.25 & 1.01803762623020 & 1.0040553738012 \tabularnewline
53 & 3822145 & 3923531.83598815 & 3963536.625 & 0.98990679466426 & 0.974159293150577 \tabularnewline
54 & 3760085 & 3801691.79584970 & 4008438.79166667 & 0.948422064907969 & 0.989055715696069 \tabularnewline
55 & 5267816 & 5358022.48682734 & 4043535.41666667 & 1.32508360499147 & 0.983164220185877 \tabularnewline
56 & 5271333 & 5194689.09107909 & 4074928.45833333 & 1.27479270966238 & 1.014754282225 \tabularnewline
57 & 4144142 & 4126433.2986811 & 4124542.75 & 1.00045836564092 & 1.00429152734022 \tabularnewline
58 & 4109749 & 4022001.06798137 & 4159495.375 & 0.96694447411938 & 1.02181698376890 \tabularnewline
59 & 3896808 & 3703527.3638135 & 4184383.875 & 0.885083079002521 & 1.05218825654564 \tabularnewline
60 & 4211074 & 4147629.63285878 & 4218172.41666667 & 0.983276457944404 & 1.01529653627667 \tabularnewline
61 & 3402318 & 3393421.17534046 & 4235490.70833333 & 0.801187255272192 & 1.00262178615617 \tabularnewline
62 & 3279817 & 3252111.13098346 & 4254979.58333333 & 0.764307105895857 & 1.00851934878626 \tabularnewline
63 & 4706628 & 4450672.63878061 & 4269228.45833333 & 1.04250046166845 & 1.05750936588532 \tabularnewline
64 & 4079499 & 4342722.97574557 & 4265778.45833333 & 1.01803762623020 & 0.939387343559399 \tabularnewline
65 & 4344530 & 4205039.67417953 & 4247914.75 & 0.98990679466426 & 1.03317217829762 \tabularnewline
66 & 4048625 & 4003318.5023671 & 4221030.54166667 & 0.948422064907969 & 1.01131723534016 \tabularnewline
67 & 5394915 & NA & NA & 1.32508360499147 & NA \tabularnewline
68 & 5611967 & NA & NA & 1.27479270966238 & NA \tabularnewline
69 & 4145481 & NA & NA & 1.00045836564092 & NA \tabularnewline
70 & 4025610 & NA & NA & 0.96694447411938 & NA \tabularnewline
71 & 3552218 & NA & NA & 0.885083079002521 & NA \tabularnewline
72 & 3910443 & NA & NA & 0.983276457944404 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72154&T=1

[TABLE]
[ROW][C]Classical Decomposition by Moving Averages[/C][/ROW]
[ROW][C]t[/C][C]Observations[/C][C]Fit[/C][C]Trend[/C][C]Seasonal[/C][C]Random[/C][/ROW]
[ROW][C]1[/C][C]2357402[/C][C]NA[/C][C]NA[/C][C]0.801187255272192[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]2199181[/C][C]NA[/C][C]NA[/C][C]0.764307105895857[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]2603060[/C][C]NA[/C][C]NA[/C][C]1.04250046166845[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]2629720[/C][C]NA[/C][C]NA[/C][C]1.01803762623020[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]2638792[/C][C]NA[/C][C]NA[/C][C]0.98990679466426[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]2717481[/C][C]NA[/C][C]NA[/C][C]0.948422064907969[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]3810804[/C][C]3807094.55842742[/C][C]2873097.625[/C][C]1.32508360499147[/C][C]1.00097434973459[/C][/ROW]
[ROW][C]8[/C][C]3871664[/C][C]3679723.73519271[/C][C]2886527.125[/C][C]1.27479270966238[/C][C]1.05216159652737[/C][/ROW]
[ROW][C]9[/C][C]2998364[/C][C]2921276.02408093[/C][C]2919937.625[/C][C]1.00045836564092[/C][C]1.02638846013989[/C][/ROW]
[ROW][C]10[/C][C]2923432[/C][C]2873700.96041435[/C][C]2971940[/C][C]0.96694447411938[/C][C]1.01730557224663[/C][/ROW]
[ROW][C]11[/C][C]2712359[/C][C]2677223.52651611[/C][C]3024827.375[/C][C]0.885083079002521[/C][C]1.01312384757413[/C][/ROW]
[ROW][C]12[/C][C]2996099[/C][C]3010447.13836991[/C][C]3061648.75[/C][C]0.983276457944404[/C][C]0.995233884632274[/C][/ROW]
[ROW][C]13[/C][C]2395029[/C][C]2478892.62968909[/C][C]3094024.04166667[/C][C]0.801187255272192[/C][C]0.966168914020447[/C][/ROW]
[ROW][C]14[/C][C]2483862[/C][C]2383460.24576037[/C][C]3118458.83333333[/C][C]0.764307105895857[/C][C]1.04212436704922[/C][/ROW]
[ROW][C]15[/C][C]3120231[/C][C]3266147.82171706[/C][C]3132994.125[/C][C]1.04250046166845[/C][C]0.955324489373434[/C][/ROW]
[ROW][C]16[/C][C]3360606[/C][C]3206022.71412905[/C][C]3149218.29166667[/C][C]1.01803762623020[/C][C]1.04821652859467[/C][/ROW]
[ROW][C]17[/C][C]3177203[/C][C]3128378.72666051[/C][C]3160276.04166667[/C][C]0.98990679466426[/C][C]1.01560689341204[/C][/ROW]
[ROW][C]18[/C][C]3062783[/C][C]3008492.87253662[/C][C]3172103.41666667[/C][C]0.948422064907969[/C][C]1.01804562276314[/C][/ROW]
[ROW][C]19[/C][C]4242509[/C][C]4228086.53929836[/C][C]3190807.375[/C][C]1.32508360499147[/C][C]1.00341110820878[/C][/ROW]
[ROW][C]20[/C][C]4026394[/C][C]4085899.62248713[/C][C]3205148.25[/C][C]1.27479270966238[/C][C]0.9854363474424[/C][/ROW]
[ROW][C]21[/C][C]3192481[/C][C]3238886.24732876[/C][C]3237402.33333333[/C][C]1.00045836564092[/C][C]0.985672467698724[/C][/ROW]
[ROW][C]22[/C][C]3118695[/C][C]3151983.83315607[/C][C]3259736.125[/C][C]0.96694447411938[/C][C]0.9894387677989[/C][/ROW]
[ROW][C]23[/C][C]2782482[/C][C]2889381.96030534[/C][C]3264531.91666667[/C][C]0.885083079002521[/C][C]0.963002482269932[/C][/ROW]
[ROW][C]24[/C][C]3209833[/C][C]3230156.69852043[/C][C]3285095.125[/C][C]0.983276457944404[/C][C]0.993708138515466[/C][/ROW]
[ROW][C]25[/C][C]2630190[/C][C]2653813.53971931[/C][C]3312351.16666667[/C][C]0.801187255272192[/C][C]0.99109826694086[/C][/ROW]
[ROW][C]26[/C][C]2592882[/C][C]2552913.27744046[/C][C]3340166.875[/C][C]0.764307105895857[/C][C]1.01565612232610[/C][/ROW]
[ROW][C]27[/C][C]3785309[/C][C]3505327.87732478[/C][C]3362423.33333333[/C][C]1.04250046166845[/C][C]1.07987301972131[/C][/ROW]
[ROW][C]28[/C][C]3231539[/C][C]3442462.8011857[/C][C]3381469.125[/C][C]1.01803762623020[/C][C]0.938728807436046[/C][/ROW]
[ROW][C]29[/C][C]3421369[/C][C]3364224.02048927[/C][C]3398526.04166667[/C][C]0.98990679466426[/C][C]1.01698608034504[/C][/ROW]
[ROW][C]30[/C][C]3312134[/C][C]3242128.23098087[/C][C]3418444.54166667[/C][C]0.948422064907969[/C][C]1.02159253552965[/C][/ROW]
[ROW][C]31[/C][C]4647303[/C][C]4559833.64246677[/C][C]3441166.75[/C][C]1.32508360499147[/C][C]1.01918257646915[/C][/ROW]
[ROW][C]32[/C][C]4289177[/C][C]4403881.15393444[/C][C]3454586.08333333[/C][C]1.27479270966238[/C][C]0.973953848906216[/C][/ROW]
[ROW][C]33[/C][C]3463853[/C][C]3445604.08126988[/C][C]3444025.45833333[/C][C]1.00045836564092[/C][C]1.00529629008432[/C][/ROW]
[ROW][C]34[/C][C]3304422[/C][C]3347232.68596527[/C][C]3461659.66666667[/C][C]0.96694447411938[/C][C]0.987210125503144[/C][/ROW]
[ROW][C]35[/C][C]3006121[/C][C]3091666.99732059[/C][C]3493081.125[/C][C]0.885083079002521[/C][C]0.972330138596838[/C][/ROW]
[ROW][C]36[/C][C]3464238[/C][C]3437851.76751073[/C][C]3496322.66666667[/C][C]0.983276457944404[/C][C]1.00767520948362[/C][/ROW]
[ROW][C]37[/C][C]2921118[/C][C]2809108.73365839[/C][C]3506182.5[/C][C]0.801187255272192[/C][C]1.03987359584893[/C][/ROW]
[ROW][C]38[/C][C]2624018[/C][C]2696161.84891813[/C][C]3527589.66666667[/C][C]0.764307105895857[/C][C]0.973242018483764[/C][/ROW]
[ROW][C]39[/C][C]3500718[/C][C]3699142.35252999[/C][C]3548336.41666667[/C][C]1.04250046166845[/C][C]0.946359362895488[/C][/ROW]
[ROW][C]40[/C][C]3939351[/C][C]3631722.95249234[/C][C]3567375.95833333[/C][C]1.01803762623020[/C][C]1.08470581361294[/C][/ROW]
[ROW][C]41[/C][C]3467672[/C][C]3555968.76038515[/C][C]3592225.83333333[/C][C]0.98990679466426[/C][C]0.975169421798974[/C][/ROW]
[ROW][C]42[/C][C]3343628[/C][C]3429070.99287834[/C][C]3615553.79166667[/C][C]0.948422064907969[/C][C]0.975082757675246[/C][/ROW]
[ROW][C]43[/C][C]4852445[/C][C]4812207.18867167[/C][C]3631625.33333333[/C][C]1.32508360499147[/C][C]1.00836161240585[/C][/ROW]
[ROW][C]44[/C][C]4597807[/C][C]4649943.13001164[/C][C]3647607.25[/C][C]1.27479270966238[/C][C]0.988787791903273[/C][/ROW]
[ROW][C]45[/C][C]3653145[/C][C]3677248.91899166[/C][C]3675564.16666667[/C][C]1.00045836564092[/C][C]0.993445121741101[/C][/ROW]
[ROW][C]46[/C][C]3572079[/C][C]3574501.01866916[/C][C]3696697.29166667[/C][C]0.96694447411938[/C][C]0.99932241768669[/C][/ROW]
[ROW][C]47[/C][C]3334861[/C][C]3287361.44758036[/C][C]3714184.04166667[/C][C]0.885083079002521[/C][C]1.01444914201771[/C][/ROW]
[ROW][C]48[/C][C]3695369[/C][C]3683654.61696542[/C][C]3746306.125[/C][C]0.983276457944404[/C][C]1.00318009809623[/C][/ROW]
[ROW][C]49[/C][C]3075704[/C][C]3029261.47137226[/C][C]3780965.625[/C][C]0.801187255272192[/C][C]1.01533130403785[/C][/ROW]
[ROW][C]50[/C][C]2852998[/C][C]2924496.04911416[/C][C]3826336.33333333[/C][C]0.764307105895857[/C][C]0.975552010358905[/C][/ROW]
[ROW][C]51[/C][C]3942704[/C][C]4039541.38421226[/C][C]3874858.125[/C][C]1.04250046166845[/C][C]0.97602762912871[/C][/ROW]
[ROW][C]52[/C][C]4004560[/C][C]3988385.60550634[/C][C]3917719.25[/C][C]1.01803762623020[/C][C]1.0040553738012[/C][/ROW]
[ROW][C]53[/C][C]3822145[/C][C]3923531.83598815[/C][C]3963536.625[/C][C]0.98990679466426[/C][C]0.974159293150577[/C][/ROW]
[ROW][C]54[/C][C]3760085[/C][C]3801691.79584970[/C][C]4008438.79166667[/C][C]0.948422064907969[/C][C]0.989055715696069[/C][/ROW]
[ROW][C]55[/C][C]5267816[/C][C]5358022.48682734[/C][C]4043535.41666667[/C][C]1.32508360499147[/C][C]0.983164220185877[/C][/ROW]
[ROW][C]56[/C][C]5271333[/C][C]5194689.09107909[/C][C]4074928.45833333[/C][C]1.27479270966238[/C][C]1.014754282225[/C][/ROW]
[ROW][C]57[/C][C]4144142[/C][C]4126433.2986811[/C][C]4124542.75[/C][C]1.00045836564092[/C][C]1.00429152734022[/C][/ROW]
[ROW][C]58[/C][C]4109749[/C][C]4022001.06798137[/C][C]4159495.375[/C][C]0.96694447411938[/C][C]1.02181698376890[/C][/ROW]
[ROW][C]59[/C][C]3896808[/C][C]3703527.3638135[/C][C]4184383.875[/C][C]0.885083079002521[/C][C]1.05218825654564[/C][/ROW]
[ROW][C]60[/C][C]4211074[/C][C]4147629.63285878[/C][C]4218172.41666667[/C][C]0.983276457944404[/C][C]1.01529653627667[/C][/ROW]
[ROW][C]61[/C][C]3402318[/C][C]3393421.17534046[/C][C]4235490.70833333[/C][C]0.801187255272192[/C][C]1.00262178615617[/C][/ROW]
[ROW][C]62[/C][C]3279817[/C][C]3252111.13098346[/C][C]4254979.58333333[/C][C]0.764307105895857[/C][C]1.00851934878626[/C][/ROW]
[ROW][C]63[/C][C]4706628[/C][C]4450672.63878061[/C][C]4269228.45833333[/C][C]1.04250046166845[/C][C]1.05750936588532[/C][/ROW]
[ROW][C]64[/C][C]4079499[/C][C]4342722.97574557[/C][C]4265778.45833333[/C][C]1.01803762623020[/C][C]0.939387343559399[/C][/ROW]
[ROW][C]65[/C][C]4344530[/C][C]4205039.67417953[/C][C]4247914.75[/C][C]0.98990679466426[/C][C]1.03317217829762[/C][/ROW]
[ROW][C]66[/C][C]4048625[/C][C]4003318.5023671[/C][C]4221030.54166667[/C][C]0.948422064907969[/C][C]1.01131723534016[/C][/ROW]
[ROW][C]67[/C][C]5394915[/C][C]NA[/C][C]NA[/C][C]1.32508360499147[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]5611967[/C][C]NA[/C][C]NA[/C][C]1.27479270966238[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]4145481[/C][C]NA[/C][C]NA[/C][C]1.00045836564092[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]4025610[/C][C]NA[/C][C]NA[/C][C]0.96694447411938[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]3552218[/C][C]NA[/C][C]NA[/C][C]0.885083079002521[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]3910443[/C][C]NA[/C][C]NA[/C][C]0.983276457944404[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72154&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72154&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
12357402NANA0.801187255272192NA
22199181NANA0.764307105895857NA
32603060NANA1.04250046166845NA
42629720NANA1.01803762623020NA
52638792NANA0.98990679466426NA
62717481NANA0.948422064907969NA
738108043807094.558427422873097.6251.325083604991471.00097434973459
838716643679723.735192712886527.1251.274792709662381.05216159652737
929983642921276.024080932919937.6251.000458365640921.02638846013989
1029234322873700.9604143529719400.966944474119381.01730557224663
1127123592677223.526516113024827.3750.8850830790025211.01312384757413
1229960993010447.138369913061648.750.9832764579444040.995233884632274
1323950292478892.629689093094024.041666670.8011872552721920.966168914020447
1424838622383460.245760373118458.833333330.7643071058958571.04212436704922
1531202313266147.821717063132994.1251.042500461668450.955324489373434
1633606063206022.714129053149218.291666671.018037626230201.04821652859467
1731772033128378.726660513160276.041666670.989906794664261.01560689341204
1830627833008492.872536623172103.416666670.9484220649079691.01804562276314
1942425094228086.539298363190807.3751.325083604991471.00341110820878
2040263944085899.622487133205148.251.274792709662380.9854363474424
2131924813238886.247328763237402.333333331.000458365640920.985672467698724
2231186953151983.833156073259736.1250.966944474119380.9894387677989
2327824822889381.960305343264531.916666670.8850830790025210.963002482269932
2432098333230156.698520433285095.1250.9832764579444040.993708138515466
2526301902653813.539719313312351.166666670.8011872552721920.99109826694086
2625928822552913.277440463340166.8750.7643071058958571.01565612232610
2737853093505327.877324783362423.333333331.042500461668451.07987301972131
2832315393442462.80118573381469.1251.018037626230200.938728807436046
2934213693364224.020489273398526.041666670.989906794664261.01698608034504
3033121343242128.230980873418444.541666670.9484220649079691.02159253552965
3146473034559833.642466773441166.751.325083604991471.01918257646915
3242891774403881.153934443454586.083333331.274792709662380.973953848906216
3334638533445604.081269883444025.458333331.000458365640921.00529629008432
3433044223347232.685965273461659.666666670.966944474119380.987210125503144
3530061213091666.997320593493081.1250.8850830790025210.972330138596838
3634642383437851.767510733496322.666666670.9832764579444041.00767520948362
3729211182809108.733658393506182.50.8011872552721921.03987359584893
3826240182696161.848918133527589.666666670.7643071058958570.973242018483764
3935007183699142.352529993548336.416666671.042500461668450.946359362895488
4039393513631722.952492343567375.958333331.018037626230201.08470581361294
4134676723555968.760385153592225.833333330.989906794664260.975169421798974
4233436283429070.992878343615553.791666670.9484220649079690.975082757675246
4348524454812207.188671673631625.333333331.325083604991471.00836161240585
4445978074649943.130011643647607.251.274792709662380.988787791903273
4536531453677248.918991663675564.166666671.000458365640920.993445121741101
4635720793574501.018669163696697.291666670.966944474119380.99932241768669
4733348613287361.447580363714184.041666670.8850830790025211.01444914201771
4836953693683654.616965423746306.1250.9832764579444041.00318009809623
4930757043029261.471372263780965.6250.8011872552721921.01533130403785
5028529982924496.049114163826336.333333330.7643071058958570.975552010358905
5139427044039541.384212263874858.1251.042500461668450.97602762912871
5240045603988385.605506343917719.251.018037626230201.0040553738012
5338221453923531.835988153963536.6250.989906794664260.974159293150577
5437600853801691.795849704008438.791666670.9484220649079690.989055715696069
5552678165358022.486827344043535.416666671.325083604991470.983164220185877
5652713335194689.091079094074928.458333331.274792709662381.014754282225
5741441424126433.29868114124542.751.000458365640921.00429152734022
5841097494022001.067981374159495.3750.966944474119381.02181698376890
5938968083703527.36381354184383.8750.8850830790025211.05218825654564
6042110744147629.632858784218172.416666670.9832764579444041.01529653627667
6134023183393421.175340464235490.708333330.8011872552721921.00262178615617
6232798173252111.130983464254979.583333330.7643071058958571.00851934878626
6347066284450672.638780614269228.458333331.042500461668451.05750936588532
6440794994342722.975745574265778.458333331.018037626230200.939387343559399
6543445304205039.674179534247914.750.989906794664261.03317217829762
6640486254003318.50236714221030.541666670.9484220649079691.01131723534016
675394915NANA1.32508360499147NA
685611967NANA1.27479270966238NA
694145481NANA1.00045836564092NA
704025610NANA0.96694447411938NA
713552218NANA0.885083079002521NA
723910443NANA0.983276457944404NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')